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The question is asking whether the system of equations shown in the graph has no solution or infinitely many solutions. 

Looking at the image:

- The two lines appear to be parallel. This is indicated by the fact that they never intersect.
- For a system of linear equations, if two lines are parallel, they have the same slope but different y-intercepts, meaning they will never intersect.
- A system with parallel lines has **no solution** because there is no point that satisfies both equations simultaneously.

So, the correct answers are:
1. The two lines are **parallel**.
2. The system of equations has **no solution**.

Would you like more details or have any questions?

Here are some related questions:
1. What does it mean when two lines have infinitely many solutions?
2. How can you tell if two lines are parallel just by looking at their equations?
3. What is the slope-intercept form of a linear equation, and how does it help in identifying parallel lines?
4. What types of systems of equations have exactly one solution?
5. Can non-linear systems of equations also have no solution?

**Tip:** Remember, parallel lines always have the same slope but different y-intercepts.

Determine whether the system of equations shown in the graph has no solution or infinitely many solutions. The two lines are ______, so the system of equations has ______.

Learn how to determine if a system of linear equations has no solution or infinitely many solutions. This example focuses on identifying parallel lines in a system, demonstrating that parallel lines lead to no solution. Suitable for students in Grade 8-10.

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